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Finding the Fourth Proportional to 8,452.29, 11,651.76 and 5,926.77

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Solution

The fourth proportional to 8,452.29, 11,651.76 and 5,926.77 is: 8,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.29 : 11,651.76 = 5,926.77 : x
  2. Step 2: Convert to fraction form
    8,452.29/11,651.76 = 5,926.77/x
  3. Step 3: Cross multiply
    8,452.29x = 11,651.76 × 5,926.77
  4. Step 4: Simplify right side
    8,452.29x = 69,057,301.62
  5. Step 5: Solve for x
    x = 69,057,301.62/8,452.29
  6. Step 6: Final answer
    x = 8,170.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.